Irrational and Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

Is the number 0.75 rational or irrational?

Back

Rational

Front

Is the number √2 rational or irrational?

Back

Irrational

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Give an example of a perfect square.

Back

Examples include 1, 4, 9, 16, 25 (which are 1^2, 2^2, 3^2, 4^2, 5^2 respectively).

Front

Is the number 3/4 rational or irrational?

Back

Rational

Front

What is the value of 4π?

Back

4π is an irrational number.

Front

What type of number is 0?

Back

Rational (since it can be expressed as 0/1).

Front

Is the number 1.41421356 rational or irrational?

Back

Irrational (it is an approximation of √2).